Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal for Multiscale Computational Engineering
Fator do impacto: 1.016 FI de cinco anos: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v5.i2.10
pages 73-82

Comparisons of the Size of the Representative Volume Element in Elastic, Plastic, Thermoelastic, and Permeable Random Microstructures

Martin Ostoja-Starzewski
Department of Mechanical Science & Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801,
X. Du
Department of Mechanical Engineering, McGill University, Montréal, QC, H3A 2K6, Canada
Z. F. Khisaeva
Department of Mechanical Engineering, McGill University, Montréal, QC, H3A 2K6, Canada
W. Li
Department of Mechanical Engineering, McGill University, Montréal, QC, H3A 2K6, Canada

RESUMO

The representative volume element (so-called RVE) is the cornerstone of continuum mechanics. In this paper we examine the scaling to RVE in linear elasticity, finite elasticity, elastoplasticity, thermoelasticity, and permeability of random composite materials. In order to compare the scaling to RVE between all these physical systems we introduce a discrepancy defined in terms of responses under uniform essential boundary conditions and uniform natural boundary conditions. Overall, the discrepancy is found to increase in the following order: linear elasticity, plasticity, linear thermoelasticity, nonlinear elasticity, and then permeability. However, the latter case cannot really be compared directly to other cases since the mismatch between solid and fluid phases in porous media is infinite.


Articles with similar content:

A Multiscale Finite Element Approach for Buckling Analysis of Elastoplastic Long Fiber Composites
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 3
Julien Yvonnet, Hamid Zahrouni, Michel Potier-Ferry, Saeid Nezamabadi
MATERIAL RESPONSE AT MICRO-, MULTI-, AND MACROSCALES
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 3
Mircea Grigoriu
BUCKLING OF FGM TIMOSHENKO MICROBEAMS UNDER IN-PLANE THERMAL LOADING BASED ON THE MODIFIED STRAIN GRADIENT THEORY
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 4
M. Faghih Shojaei, S. Sahmani, R. Ansari, V. Mohammadi, Raheb Gholami
EFFECT OF HALL CURRENTS ON INTERACTION OF PERISTALTIC FLOW WITH PULSATILE MAGNETOFLUID THROUGH A POROUS MEDIUM
Journal of Porous Media, Vol.13, 2010, issue 2
N. S. Gad
LINEAR INSTABILITY TO LONGITUDINAL ROLLS OF THE DARCY-HADLEY FLOW IN A WEAKLY HETEROGENEOUS POROUS MEDIUM
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2012, issue
D A Nield, Antonio Barletta